Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
iop360
Group Title
Find all distinct roots(real or complex) of
z^2 + (9+3i)z + (24+11i) in the form a+bi.
Hint: You may have to complete the square
 one year ago
 one year ago
iop360 Group Title
Find all distinct roots(real or complex) of z^2 + (9+3i)z + (24+11i) in the form a+bi. Hint: You may have to complete the square
 one year ago
 one year ago

This Question is Closed

iop360 Group TitleBest ResponseYou've already chosen the best response.0
http://answers.yahoo.com/question/index?qid=20121124223053AAchfPc the bottom explanation of this link might be it, but i dont understand it
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
have you figured anything out?
 one year ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.0
\[\large z^2+(9+3i)z+(2411i)=0\]\[\large z^2+(9+3i)z=(2411i)\]to complete squares, add (b/2)^2 to both sides, where b=9+3i \[\large z^2+(9+3i)z+\left( \frac{ 9+3i }{ 2 } \right)^2=(2411i)+\left( \frac{ 9+3i }{ 2 } \right)^2\]
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
yeah im at this step... what do you do next?
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
\[(z + (\frac{ 9 + 3i }{ 2 }))^2 = 24 + 11i + 18 +\frac{ 27i }{ 2 }\]
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
\[z + (\frac{ 9+3i }{ 2 }) = \pm \sqrt{\frac{ 12 + 5i}{ 2 }} \]
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
i dunno, lol
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
i dont get how the person completed the square in the yahoo link..
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
\[z = (\frac{ 9+3i }{ 2}) \pm \sqrt{\frac{ 12 + 5i }{ 2 }}\]
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
it would be so much easier if the square root wasnt there...we could just add them up easily
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
from the yahoo answers link: z² + (2−4i)z = (11+10i) z² + (2−4i)z + (3 4i) = (11+10i) + (3 4i)
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
what i dont get is where the (34i) comes from
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.